100431230400 has 336 divisors, whose sum is σ = 367998634080. Its totient is φ = 26643456000.

The previous prime is 100431230381. The next prime is 100431230401. The reversal of 100431230400 is 4032134001.

100431230400 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 31 + 230 + 400 = 666.

It is a super-4 number, since 4×100431230400⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100431230401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8504500 + ... + 8516300.

It is an arithmetic number, because the mean of its divisors is an integer number (1095234030).

Almost surely, 2^100431230400 is an apocalyptic number.

100431230400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100431230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183999317040).

100431230400 is an abundant number, since it is smaller than the sum of its proper divisors (267567403680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100431230400 is a wasteful number, since it uses less digits than its factorization.

100431230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12029 (or 12008 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100431230400 its reverse (4032134001), we get a palindrome (104463364401).

The spelling of 100431230400 in words is "one hundred billion, four hundred thirty-one million, two hundred thirty thousand, four hundred".